| Paper Abstract and Keywords |
| Presentation |
2004-10-15 15:55
An algorithm for computing the Holevo capacity of 1-qubit channel with using computational gemetry
Mayumi Oto, Hiroshi Imai (Univ. of Tokyo), Keiko Imai (Chuo Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Let a parameter space of qubits be a quantum space.
In this space, computational-geometric problems can be treated for the quantum divergence as a proximity function, whose geometry is called quantum information geometry, and the quantum divergence is treated as a proximity function.
By generalizing the result by Onishi and Imai on the computational-geometric structure in the classical information geometry, where the Kullback-Leibler divergence is used as a proximity function, Voronoi diagrams are introduced.
In our paper, we describe the minimum enclosing sphere problem in the 1-qubit quantum space and propose the algorithm for computing the quantum channel capacity with respect to the quantum divergence and it produces $\epsilon$-approximate solution in time $O(1/\epsilon)$. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Quantum channel / the farthest Voronoi diagram / the minimum enclosing sphere / / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 104, no. 339, COMP2004-51, pp. 55-59, Oct. 2004. |
| Paper # |
COMP2004-51 |
| Date of Issue |
2004-10-07 (COMP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| Conference Information |
| Committee |
COMP |
| Conference Date |
2004-10-14 - 2004-10-15 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Tohoku University |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
COMP |
| Conference Code |
2004-10-COMP |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
An algorithm for computing the Holevo capacity of 1-qubit channel with using computational gemetry |
| Sub Title (in English) |
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| Keyword(1) |
Quantum channel |
| Keyword(2) |
the farthest Voronoi diagram |
| Keyword(3) |
the minimum enclosing sphere |
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| 1st Author's Name |
Mayumi Oto |
| 1st Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
| 2nd Author's Name |
Hiroshi Imai |
| 2nd Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
| 3rd Author's Name |
Keiko Imai |
| 3rd Author's Affiliation |
Chuo University (Chuo Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2004-10-15 15:55:00 |
| Presentation Time |
30 minutes |
| Registration for |
COMP |
| Paper # |
COMP2004-51 |
| Volume (vol) |
vol.104 |
| Number (no) |
no.339 |
| Page |
pp.55-59 |
| #Pages |
5 |
| Date of Issue |
2004-10-07 (COMP) |